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On a two-dimensional binary process

Published online by Cambridge University Press:  14 July 2016

R. F. Galbraith  and
D. Walley
R. F. Galbraith
Affiliation:
University College London
D. Walley
Affiliation:
University College London
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Abstract

We consider a two-dimensional stochastic process of binary variables xij defined so that the conditional distribution of xij given its predecessors depends only on xi–1j and xij–1 Properties of the equilibrium distribution, when this exists, are investigated using three different representations of the process and explicit results are given in some special cases.

Keywords

TWO-DIMENSIONAL PROCESSBINARY VARIABLESMARKOV CHAINCORRELATION FUNCTIONPOWER METHOD FOR EIGENVECTORS
Type
Research Papers
Information
Journal of Applied Probability , Volume 13 , Issue 3 , September 1976 , pp. 548 - 557
Copyright
Copyright © Applied Probability Trust 1976 

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